Diploma Programme Mathematics SL formula booklet For use during the course and in the examinations First examinations 2014 Published March 2012 © International Baccalaureate Organization 2012 Mathematical studies SL: Formula booklet 5045 1 Contents Prior learning 2 Topics 3 Topic 1—Algebra 3 Topic 2—Functions and equations 4 Topic 3—Circular functions and trigonometry 4 Topic 4—Vectors 5 Topic 5—Statistics and probability 5 Topic 6—Calculus
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EUROPEAN SCHOOL Mathematics Higher Level Portfolio Type 1 SHADOW FUNCTIONS Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Supervisor: Avtandil Gagnidze Session Year: 2013 May Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Mathematics Higher Level Type 1: Shadow Functions SHADOW FUNCTIONS The Aim of the Investigation: The overall aim of this investigation is to investigate different polynomials with different powers and create shadow function
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IB#Mathematics#Exploration# ! This!exploration!is!your!chance!to!explore!an!area!of!math!you!are!interested!in‚!kind!of!like!a!Math! Personal!Project.!!Pay!close!attention!to!the!rubric!the!whole!way!through.! ! It!will!be!carried!out!in!several!stages.!!Below!you!will!find!a!summary!of!dates!on!which!the! different!stages!of!the!process!are!due.!These!dates!are!given!to!you!in!advance!so!that!you!can! balance!your!workload!against!other!subjects!ahead!of!time.! ! The!project!will!be!introduced
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M11/5/MATME/SP1/ENG/TZ1/XX 22117303 mathematics staNDaRD level PaPeR 1 Wednesday 4 May 2011 (afternoon) 1 hour 30 minutes iNSTrucTioNS To cANdidATES candidate session number 0 0 Examination code 2 2 1 1 – 7 3 0 3 Write your session number in the boxes above. not open this examination paper until instructed to do so. do are not permitted access to any calculator for this paper. You Section A: answer all questions in the boxes provided. Section B: answer all questions on the
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IB KYAW WAI IB1I KYAW WAI IB1I CHEMISTRY IA (2) TITRATION OF ACID & ALKALI Name: KYAW WAI Date: 5th February 2013 IA CRITERIA ASSESSED: DCP‚ MS Declaration I declare that this report I have submitted is my own original work and I have acknowledged the use of words or ideas of another person. Signature: ______________________________ Marks: ______________________________ Aim of the experiment: The aim is to determine the water of crystallization of a diprotic acid by
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diversity of the smoky hill high school IB class of 2013 and 2014 Candidate Name: Zainab Sanni Candidate Number: 000631-063 Date of Submission: 10 April 2013 Word Count: 1‚078 Research Question: How does the diversity of the different ethnicity of the junior class of IB students at Smoky Hill High School differ from the diversity of the different ethnicity of the finishing senior class of IB students at smoky hill high school? Over the years‚ has IB been more accepting of the different cultures
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the triangles stated above‚ they share a common angle‚ O. With the help of this information we can analyze the preliminary relationship between OP and OP’. We can find OP’‚ we have the tools. The two tools that we will be using mainly are the sine law and cosine law (respectively); Sin Aa = Sin Bb = Sin Cc a2= b2+ c2-2bc cosA and the two triangles that are going to be used; For the first calculations‚ r=1 and OP =2. By finding the ∠O in one triangle‚ I have found the ∠O in both triangles
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XYZ IB SL Math Circles Aim: The aim of this task is to investigate positions of points in intersecting circles. Introduction: The above diagram shows that distance r is the distance between any point‚ such as A‚ and the center of the circle‚ O‚ of the circle C1. The circle C2 has centre P and radius OP. A is one of the points of intersection of C1 and C2. Circle C3 has centre A‚ and radius r. The point P’ is the intersection of C3 with (OP). The r=1‚ OP=2‚ and P’=0.5. This is shown
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IB Physics Internal Assessment Andy Tang Research Question In this internal assessment‚ I am given a cantilever to find the physical properties of it. I decide to investigate the relationship between the force I act on one side of the cantilever and the maximum acceleration the tail can reach. This experiment will be also showing the elasticity of the cantilever. Since I pull down one side of it and fixed the other side‚ when I cut the string‚ it will bounce up and down until all the internal
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IB Math Studies Internal Assessment: What is the Relationship between SAT Scores and Family Income of the Test Takers around the World? Exam Session: May 2015 School name: Jim Hill High School Teacher: Ms. Davis Date: December 15‚ 2015 Course: IB Math Studies Word Count: 1‚597 Name: Jasmine A. Wells Introduction The SAT examination is mostly in today’s world of academics‚ a requirement of getting accepted into collage. Not only is it enough to take the examination but the
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